Search a number
-
+
20132400017 is a prime number
BaseRepresentation
bin10010101111111111…
…000000101110010001
31220222001122212221002
4102233333000232101
5312212343300032
613125415111345
71311620401532
oct225777005621
956861585832
1020132400017
1185a1240124
123a9a372555
131b8ac53942
14d8db0c689
157cc6c0862
hex4affc0b91

20132400017 has 2 divisors, whose sum is σ = 20132400018. Its totient is φ = 20132400016.

The previous prime is 20132399999. The next prime is 20132400023. The reversal of 20132400017 is 71000423102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18253090816 + 1879309201 = 135104^2 + 43351^2 .

It is a cyclic number.

It is not a de Polignac number, because 20132400017 - 220 = 20131351441 is a prime.

It is not a weakly prime, because it can be changed into another prime (20132400317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066200008 + 10066200009.

It is an arithmetic number, because the mean of its divisors is an integer number (10066200009).

Almost surely, 220132400017 is an apocalyptic number.

It is an amenable number.

20132400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20132400017 is an equidigital number, since it uses as much as digits as its factorization.

20132400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 20132400017 its reverse (71000423102), we get a palindrome (91132823119).

The spelling of 20132400017 in words is "twenty billion, one hundred thirty-two million, four hundred thousand, seventeen".